An algebraic approach to fault diagnosis for linear systems

@inproceedings{Fliess2003AnAA,
  title={An algebraic approach to fault diagnosis for linear systems},
  author={Michel Fliess},
  year={2003}
}
We give an intrinsic algebraic definition of fault detectability and isolability, parity equations, and residuals for time-invariant linear systems. The applicability and efficiency of our approach are illustrated by numerical simulations for three academic examples and a concrete case-study. Keywords— Linear system, fault diagnosis, detectability, isolation, parity equations, residuals, modules, operational calculus.